What is the Greatest Common Factor of 67416 and 67436?

Greatest common factor (GCF) of 67416 and 67436 is 4.

GCF(67416,67436) = 4

We will now calculate the prime factors of 67416 and 67436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67416 and 67436.

How to find the GCF of 67416 and 67436?

We will first find the prime factorization of 67416 and 67436. After we will calculate the factors of 67416 and 67436 and find the biggest common factor number .

Step-1: Prime Factorization of 67416

Prime factors of 67416 are 2, 3, 53. Prime factorization of 67416 in exponential form is:

67416 = 2³ × 3¹ × 53²

Step-2: Prime Factorization of 67436

Prime factors of 67436 are 2, 23, 733. Prime factorization of 67436 in exponential form is:

67436 = 2² × 23¹ × 733¹

Step-3: Factors of 67416

List of positive integer factors of 67416 that divides 67416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 53, 106, 159, 212, 318, 424, 636, 1272, 2809, 5618, 8427, 11236, 16854, 22472, 33708

Step-4: Factors of 67436

List of positive integer factors of 67436 that divides 67416 without a remainder.

1, 2, 4, 23, 46, 92, 733, 1466, 2932, 16859, 33718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67416 and 67436. The biggest common factor number is the GCF number.
So the greatest common factor 67416 and 67436 is 4.

Also check out the Least Common Multiple of 67416 and 67436